A child weighs 66.8 pounds and is ordered solu-medrol 1.6 mg/kg. The medication is labeled 500 mg/4 mL. How many milliliters should be administered, rounding to the nearest tenth?

Study for the Archer Pharmacology Test to master dosage calculations and medication administration. Use flashcards and multiple choice questions with detailed explanations. Get ready for your exam!

Multiple Choice

A child weighs 66.8 pounds and is ordered solu-medrol 1.6 mg/kg. The medication is labeled 500 mg/4 mL. How many milliliters should be administered, rounding to the nearest tenth?

Explanation:
The key idea is to convert weight to kilograms, then apply the mg/kg dose to find the total milligrams needed, and finally use the medication’s concentration to convert that dose into milliliters. First, convert the child’s weight: 66.8 lb divided by 2.2046 equals about 30.3 kg. Multiply by the ordered dose per kilogram: 1.6 mg/kg × 30.3 kg ≈ 48.5 mg. The solution is labeled as 500 mg in 4 mL, which is a concentration of 125 mg per mL (500 mg ÷ 4 mL = 125 mg/mL). To find the volume to administer, divide the required milligrams by the concentration: 48.5 mg ÷ 125 mg/mL ≈ 0.388 mL. Rounding to the nearest tenth gives 0.4 mL. Therefore, about 0.4 mL should be given.

The key idea is to convert weight to kilograms, then apply the mg/kg dose to find the total milligrams needed, and finally use the medication’s concentration to convert that dose into milliliters.

First, convert the child’s weight: 66.8 lb divided by 2.2046 equals about 30.3 kg. Multiply by the ordered dose per kilogram: 1.6 mg/kg × 30.3 kg ≈ 48.5 mg. The solution is labeled as 500 mg in 4 mL, which is a concentration of 125 mg per mL (500 mg ÷ 4 mL = 125 mg/mL). To find the volume to administer, divide the required milligrams by the concentration: 48.5 mg ÷ 125 mg/mL ≈ 0.388 mL. Rounding to the nearest tenth gives 0.4 mL. Therefore, about 0.4 mL should be given.

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